Elias Chen commented on a stock · 2 hours ago

可微分函数的临界点：分段函数，分段交易，各个击破。

Given a differentiable function f from Rm to Rn, the critical points of f are those points such that the Jacobian matrix of f has rank less than n. The image of a critical point under f is called a critical value. A point is called a regular value if it lies in the complement of the set of all critical values. By Sard's theorem, the set of critical values of a smooth function is a set of zero measure. In particular, there are finite critical values in every bounded interval when n = 1.

Critical points are fundamental to the study of the topological structure of differential manifolds and related studies in real algebraic geometry, in particular, they are a fundamental tool in Morse theory and catastrophe theory.

你在数学上，如果遇到复合函数，你将如何应对呢？通过求导数，将多值对应的复合函数化解成一个个单调函数，甚至一个个单值对应函数，难道不是这样吗？如果没有其它更先进的方法的时候。纤维丛理论和多值对应的矩阵另当别论。

若是遇到无法求导的复合函数性质的问题，盘中一时也没有时间精力去深入定量分析计算怎么办？就只能凭一些基本参数框架+经验+盘感+盘前预案，灵活是最好的能力。更重要的是圣灵带引，错了神负责纠偏。

人，并不是因为幸福才笑，而是因为笑了才幸福：

1.做自己的决定，然后准备好承担后果；

2.不要随意发脾气，谁都不欠你的；

3.你没那么多观众，别那么累；

4.过去的事情可以不忘记，但一定要放下；

5.你永远没有自己想象的那么重要；

6.钱能解决的问题统统不叫问题；

7.找点时间，单独呆会儿。

8.年轻时别怕冒险。即使失败了，也有足够的时间来扭转。

People laugh not because they are happy, but because they laugh:

1. Make your own decision, and then be prepared to bear the consequences;

2. Don't lose your temper at will, no one owes you anything;

3. You don't have that many viewers, don't be so tired;

4. The past can not be forgotten, but you must let it go;

5. You are never as important as you think;

6. All the problems that money can solve are not problems;

7. Find some time and stay alone for a while.

8. Don't be afraid of taking risks when you are young. Even if it fails, there is enough time to reverse it.

人人都需要一项爱好，每个人也需要一两个奇迹，只为了证明人生不只是从摇篮到坟墓的漫长跋涉。你向往的自己的奇迹是什么？

什么是真正的白富美？身为女子，洁身自好为白，经济独立为富，内外兼修为美。何谓真正的高富帅？生为男子，大智若愚宠辱不惊是为高，大爱于心福泽天下是为富，大略宏才智勇双全是为帅。

Everyone needs a hobby, and everyone needs one or two miracles, just to prove that life is not just a long journey from cradle to grave. What is your own miracle that you yearn for?

What is the real Bai Fumei? As a woman, she is clean and self-righteous, financially independent is rich, and both internal and external are beautiful. What is a real rich and handsome? Born to be a man, great wisdom is to be high if he is stupid and humiliated, to love the world is to be rich, and to be grand, talented, wise and brave is to be handsome.

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Elias Chen

成熟投资者：格局，概率，取舍。没有格局必然急功近利。不计概率会把运气当技术。不懂取舍，有所不为，最后必落入陷阱和圈套。

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